Designs from subcode supports of linear codes

DOI10.1007/s10623-007-9145-7zbMath1178.94217OpenAlexW2072170723MaRDI QIDQ1008976

Thomas Britz, Shiromoto, Keisuke

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9145-7

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05)

Related Items (2)

Harmonic Tutte polynomials of matroids ⋮ Wei-type duality theorems for rank metric codes

Uses Software

• Magma

Cites Work

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• On self-dual, doubly even codes of length 32
• The weight distribution of linear codes over \(GF(q^l)\) having generator matrix over \(GF(q)\)
• t-designs from the large Mathieu groups
• The weight enumerator of linear codes over \(\mathrm{GF}(q^m)\) having generator matrix over \(\mathrm{GF}(q)\)
• A new MacWilliams type identity for linear codes
• Designs in additive codes over GF(4)
• A strengthening of the Assmus-Mattson theorem
• The Higher Weight Enumerators of the Doubly-Even, Self-Dual $[48, 24, 12$ Code]
• Designs from Matroids
• On ternary self-dual codes of length 24
• Generalized Hamming weights for linear codes
• Fundamentals of Error-Correcting Codes
• The extended quadratic residue code is the only (48,24,12) self-dual doubly-even code
• The third support weight enumerators of the doubly-even, self-dual [32, 16, 8 codes]
• Geometric approach to higher weights
• New 5-designs

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